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1454440512 = 26372347051
BaseRepresentation
bin101011010110001…
…0000000001000000
310202100210020022010
41112230100001000
510434314044022
6400153412520
751020353230
oct12654200100
93670706263
101454440512
11686aa2758
1234710a140
131a24300b5
14db243cc0
1587a4a50c
hex56b10040

1454440512 has 112 divisors (see below), whose sum is σ = 4589263872. Its totient is φ = 397478400.

The previous prime is 1454440499. The next prime is 1454440517. The reversal of 1454440512 is 2150444541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1454440512.

It is not an unprimeable number, because it can be changed into a prime (1454440517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 54437.

Almost surely, 21454440512 is an apocalyptic number.

1454440512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294631936).

1454440512 is an abundant number, since it is smaller than the sum of its proper divisors (3134823360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1454440512 is a wasteful number, since it uses less digits than its factorization.

1454440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47096 (or 47086 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1454440512 is about 38137.1277366296. The cubic root of 1454440512 is about 1133.0054205497.

The spelling of 1454440512 in words is "one billion, four hundred fifty-four million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 47051 94102 141153 188204 282306 329357 376408 564612 658714 752816 988071 1082173 1129224 1317428 1505632 1976142 2164346 2258448 2634856 3011264 3246519 3952284 4328692 4516896 5269712 6493038 7575211 7904568 8657384 9033792 10539424 12986076 15150422 15809136 17314768 21078848 22725633 25972152 30300844 31618272 34629536 45451266 51944304 60601688 63236544 69259072 90902532 103888608 121203376 181805064 207777216 242406752 363610128 484813504 727220256 1454440512